Integration By Parts | Calculus 2 Lesson 11 - JK Math

How to Solve Integrals Using Integration By Parts (Calculus 2 Lesson 11) In this video we learn about a new technique for solving integrals that we previously could not integrate. This technique is known as integration by parts, and is useful for integrating products of functions of various types, including logarithmic functions, exponential functions, algebraic functions, trig functions, and inverse trig functions. We discuss the origin of the formula for integration by parts, and how to use it for different integrals. This includes determining how to choose u and dv from an integral based on certain criteria, and then using those values to simplify and solve that integral. 🖥️ Join My Membership Site: https://www.jkmathematics.com/plus This series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture! Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first! Video Chapters: 0:00 Why Integration By Parts? 2:15 Deriving the Formula 6:20 Integration By Parts Formula 7:03 Example - x*e^x 12:02 Example - x*sinx 15:40 Trick For Choosing u 17:39 Example - x*lnx 21:22 Example - lnx 23:37 Example - x^2*cosx 30:03 Example - e^x*sinx 38:06 Example - x*cosx from 0 to pi 41:12 Outro 📝 Examples Video:    • Integration By Parts Examples | Calculus 2...   ⏩ Next Lesson:    • Tabular Method - Integration By Parts | Ca...   📺 Calculus 2 Playlist:    • Calculus 2   📺 Calculus 1 Playlist:    • Calculus 1   🌐 Visit My Website: https://www.jkmathematics.com ⚡️Math Products I Recommend⚡️ Graphing Calculator: https://amzn.to/3XuUcB9 Non-Graphing Calculator: https://amzn.to/46hHJ7E Financial Calculator: https://amzn.to/3CRe9s4 Graphing Paper: https://amzn.to/46mAfAr College Rule Paper: https://amzn.to/3NOJaTN My Favorite Pencil: https://amzn.to/3NOFMIB My Favorite Erasers: https://amzn.to/3PumUQB Calculus Workbook: https://amzn.to/3r8SnNP ⚡️Textbooks I Use⚡️ Calculus 1 & 2: https://amzn.to/3PzfI5F Calculus 3: https://amzn.to/46rSy76 Financial Mathematics: https://amzn.to/3ppIVW0 ⚡️My Recording Equipment⚡️ iPad Air: https://amzn.to/3phEug1 Apple Pencil (Gen 2): https://amzn.to/3Nl45MM Tablet Desk Stand: https://amzn.to/4420rPh External Hardrive: https://amzn.to/44pkEyh (Commissions earned on qualifying purchases) Find me on social media: Facebook:   / jkmathematics   Twitter:   / jk_mathematics   Instagram: @jk_mathematics Found this video to be helpful? Consider giving this video a like and subscribing to the channel! Thanks for watching! Any questions? Feedback? Leave a comment! -Josh from JK Math #calculus Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.